黎曼空間和橢圓函數的理論及其在非線性薛丁格方程上的應用

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.author	蔣宜津	en_US
dc.contributor.author	Jiang, Yi-Chin	en_US
dc.contributor.author	李榮耀	en_US
dc.contributor.author	Lee, Jong-Eao	en_US
dc.date.accessioned	2015-11-26T01:04:25Z	-
dc.date.available	2015-11-26T01:04:25Z	-
dc.date.issued	2013	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT079922504	en_US
dc.identifier.uri	http://hdl.handle.net/11536/72066	-
dc.description.abstract	此篇論文中，我們學習非線性薛丁格方程的解的函數理論，這些解有開根號的形式。此方程的解存在於N-1相黎曼空間上，所以我們先探討黎曼空間的理論，接著我們學習橢圓函數來解特殊的非線性薛丁格方程的解，並且討論解的相關的性質。	zh_TW
dc.description.abstract	In this paper, we study the function theory of the solutions of the nonlinear Schrodinger equation (NLS), and these solutions have the radical forms. Solutions of such equation resides on the the Riemann surface of genus N-1 so we first study the theory of Riemann surface. Then we study the classical elliptic functions to solve some special solutions of NLS and analyze the associated properties.	en_US
dc.language.iso	en_US	en_US
dc.subject	非線性薛丁格方程	zh_TW
dc.subject	橢圓函數	zh_TW
dc.subject	Nonlinear Schrodinger Equation	en_US
dc.subject	Elliptic Functions	en_US
dc.title	黎曼空間和橢圓函數的理論及其在非線性薛丁格方程上的應用	zh_TW
dc.title	The Theory of Riemann Surfaces and Elliptic Functions with Application to the Nonlinear Schrodinger Equation	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
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